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Finding the Fourth Proportional to 1,525.03, 2,287.22 and 550.59

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Solution

The fourth proportional to 1,525.03, 2,287.22 and 550.59 is: 825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.03 : 2,287.22 = 550.59 : x
  2. Step 2: Convert to fraction form
    1,525.03/2,287.22 = 550.59/x
  3. Step 3: Cross multiply
    1,525.03x = 2,287.22 × 550.59
  4. Step 4: Simplify right side
    1,525.03x = 1,259,317.71
  5. Step 5: Solve for x
    x = 1,259,317.71/1,525.03
  6. Step 6: Final answer
    x = 825.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.